This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Here's how to find the values of i(t) for the given times. Given the function i(t) = 4 2t + 3t. Step 1: Find i(t) when t = ()/(3). Substitute t = ()/(3) into the function: i(()/(3)) = 4 (2 · ()/(3)) + 3 · ()/(3) i(()/(3)) = 4 ((2)/(3)) + We know that ((2)/(3)) = ( - ()/(3)) = (()/(3)) = sqrt(3)2. i(()/(3)) = 4 (sqrt(3)2) + i(()/(3)) = 2sqrt(3) + Now, calculate the numerical value: i(()/(3)) ≈ 2(1.73205) + 3.14159 i(()/(3)) ≈ 3.46410 + 3.14159 i(()/(3)) ≈ 6.6057 Step 2: Find i(t) when t = 0.6 rad. Substitute t = 0.6 into the function: i(0.6) = 4 (2 · 0.6) + 3 · 0.6 i(0.6) = 4 (1.2) + 1.8 Using a calculator (ensure it's in radian mode): (1.2) ≈ 0.932039 i(0.6) ≈ 4(0.932039) + 1.8 i(0.6) ≈ 3.728156 + 1.8 i(0.6) ≈ 5.5282 That's 2 down. 3 left today — send the next one.